Solve the system of equations. 10x+y=−20 y=2x2−4x−16 ( , ) and ( , )

and .

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system of equations.

We will use substitution method to solve our given system. From equation (1) we will get,

Substituting this value in equation (1) we will get,

Now we will use quadratic formula to solve for x.

Now to find y values we will substitute in equation (1) as.

Now, we will substitute in equation (1) as.

Therefore, there are two solutions for our given system that are and .